def plot_polynomial(expr):
"""Plots the polynomial using the functions written in
plotting module which in turn uses matplotlib backend.
Parameter
=========
expr: Denotes a polynomial(SymPy expression)
"""
from sympy.plotting.plot import plot3d, plot
gens = expr.free_symbols
if len(gens) == 2:
plot3d(expr)
else:
plot(expr)
def plot_polynomial(expr):
"""Plots the polynomial using the functions written in
plotting module which in turn uses matplotlib backend.
Parameter
=========
expr: Denotes a polynomial(SymPy expression)
"""
from sympy.plotting.plot import plot3d, plot
gens = expr.free_symbols
if len(gens) == 2:
plot3d(expr)
else:
plot(expr)
def test_custom_coloring():
x = Symbol('x')
y = Symbol('y')
plot(cos(x), line_color=lambda a: a)
plot(cos(x), line_color=1)
plot(cos(x), line_color="r")
plot_parametric(cos(x), sin(x), line_color=lambda a: a)
plot_parametric(cos(x), sin(x), line_color=1)
plot_parametric(cos(x), sin(x), line_color="r")
plot3d_parametric_line(cos(x), sin(x), x, line_color=lambda a: a)
plot3d_parametric_line(cos(x), sin(x), x, line_color=1)
plot3d_parametric_line(cos(x), sin(x), x, line_color="r")
plot3d_parametric_surface(cos(x + y), sin(x - y), x - y,
(x, -5, 5), (y, -5, 5),
surface_color=lambda a, b: a**2 + b**2)
plot3d_parametric_surface(cos(x + y), sin(x - y), x - y,
(x, -5, 5), (y, -5, 5),
surface_color=1)
plot3d_parametric_surface(cos(x + y), sin(x - y), x - y,
(x, -5, 5), (y, -5, 5),
surface_color="r")
plot3d(x*y, (x, -5, 5), (y, -5, 5),
surface_color=lambda a, b: a**2 + b**2)
plot3d(x*y, (x, -5, 5), (y, -5, 5), surface_color=1)
plot3d(x*y, (x, -5, 5), (y, -5, 5), surface_color="r")
def graph_equation(equation, channel=None, *args, **kwargs):
eq = parse_eq(equation)
parsed = parse_expr(eq).evalf()
import matplotlib.pyplot as plt
pl = None
if len(parsed.free_symbols) == 2:
pl = plot3d(parsed, show=False, backend="matplotlib")
else:
pl = plot(parsed, show=False, backend="matplotlib")
backend = pl.backend(pl)
backend.process_series()
backend.fig.savefig('/tmp/output.png', dpi=300)
return channel.send('Graph', file=discord.File('/tmp/output.png', '/tmp/output.png'))
def test_plot_and_save_3():
if not matplotlib:
skip("Matplotlib not the default backend")
x = Symbol('x')
y = Symbol('y')
z = Symbol('z')
with TemporaryDirectory(prefix='sympy_') as tmpdir:
###
# Examples from the 'colors' notebook
###
p = plot(sin(x))
p[0].line_color = lambda a: a
filename = 'test_colors_line_arity1.png'
p.save(os.path.join(tmpdir, filename))
p[0].line_color = lambda a, b: b
filename = 'test_colors_line_arity2.png'
p.save(os.path.join(tmpdir, filename))
p._backend.close()
p = plot(x*sin(x), x*cos(x), (x, 0, 10))
p[0].line_color = lambda a: a
filename = 'test_colors_param_line_arity1.png'
p.save(os.path.join(tmpdir, filename))
p[0].line_color = lambda a, b: a
filename = 'test_colors_param_line_arity1.png'
p.save(os.path.join(tmpdir, filename))
p[0].line_color = lambda a, b: b
filename = 'test_colors_param_line_arity2b.png'
p.save(os.path.join(tmpdir, filename))
p._backend.close()
p = plot3d_parametric_line(sin(x) + 0.1*sin(x)*cos(7*x),
cos(x) + 0.1*cos(x)*cos(7*x),
0.1*sin(7*x),
(x, 0, 2*pi))
p[0].line_color = lambdify_(x, sin(4*x))
filename = 'test_colors_3d_line_arity1.png'
p.save(os.path.join(tmpdir, filename))
p[0].line_color = lambda a, b: b
filename = 'test_colors_3d_line_arity2.png'
p.save(os.path.join(tmpdir, filename))
p[0].line_color = lambda a, b, c: c
filename = 'test_colors_3d_line_arity3.png'
p.save(os.path.join(tmpdir, filename))
p._backend.close()
p = plot3d(sin(x)*y, (x, 0, 6*pi), (y, -5, 5))
p[0].surface_color = lambda a: a
filename = 'test_colors_surface_arity1.png'
p.save(os.path.join(tmpdir, filename))
p[0].surface_color = lambda a, b: b
filename = 'test_colors_surface_arity2.png'
p.save(os.path.join(tmpdir, filename))
p[0].surface_color = lambda a, b, c: c
filename = 'test_colors_surface_arity3a.png'
p.save(os.path.join(tmpdir, filename))
p[0].surface_color = lambdify_((x, y, z), sqrt((x - 3*pi)**2 + y**2))
filename = 'test_colors_surface_arity3b.png'
p.save(os.path.join(tmpdir, filename))
p._backend.close()
p = plot3d_parametric_surface(x * cos(4 * y), x * sin(4 * y), y,
(x, -1, 1), (y, -1, 1))
p[0].surface_color = lambda a: a
filename = 'test_colors_param_surf_arity1.png'
p.save(os.path.join(tmpdir, filename))
p[0].surface_color = lambda a, b: a*b
filename = 'test_colors_param_surf_arity2.png'
p.save(os.path.join(tmpdir, filename))
p[0].surface_color = lambdify_((x, y, z), sqrt(x**2 + y**2 + z**2))
filename = 'test_colors_param_surf_arity3.png'
p.save(os.path.join(tmpdir, filename))
p._backend.close()
def test_plot_and_save_2():
if not matplotlib:
skip("Matplotlib not the default backend")
x = Symbol('x')
y = Symbol('y')
z = Symbol('z')
with TemporaryDirectory(prefix='sympy_') as tmpdir:
#parametric 2d plots.
#Single plot with default range.
p = plot_parametric(sin(x), cos(x))
filename = 'test_parametric.png'
p.save(os.path.join(tmpdir, filename))
p._backend.close()
#Single plot with range.
p = plot_parametric(
sin(x), cos(x), (x, -5, 5), legend=True, label='parametric_plot')
filename = 'test_parametric_range.png'
p.save(os.path.join(tmpdir, filename))
p._backend.close()
#Multiple plots with same range.
p = plot_parametric((sin(x), cos(x)), (x, sin(x)))
filename = 'test_parametric_multiple.png'
p.save(os.path.join(tmpdir, filename))
p._backend.close()
#Multiple plots with different ranges.
p = plot_parametric(
(sin(x), cos(x), (x, -3, 3)), (x, sin(x), (x, -5, 5)))
filename = 'test_parametric_multiple_ranges.png'
p.save(os.path.join(tmpdir, filename))
p._backend.close()
#depth of recursion specified.
p = plot_parametric(x, sin(x), depth=13)
filename = 'test_recursion_depth.png'
p.save(os.path.join(tmpdir, filename))
p._backend.close()
#No adaptive sampling.
p = plot_parametric(cos(x), sin(x), adaptive=False, nb_of_points=500)
filename = 'test_adaptive.png'
p.save(os.path.join(tmpdir, filename))
p._backend.close()
#3d parametric plots
p = plot3d_parametric_line(
sin(x), cos(x), x, legend=True, label='3d_parametric_plot')
filename = 'test_3d_line.png'
p.save(os.path.join(tmpdir, filename))
p._backend.close()
p = plot3d_parametric_line(
(sin(x), cos(x), x, (x, -5, 5)), (cos(x), sin(x), x, (x, -3, 3)))
filename = 'test_3d_line_multiple.png'
p.save(os.path.join(tmpdir, filename))
p._backend.close()
p = plot3d_parametric_line(sin(x), cos(x), x, nb_of_points=30)
filename = 'test_3d_line_points.png'
p.save(os.path.join(tmpdir, filename))
p._backend.close()
# 3d surface single plot.
p = plot3d(x * y)
filename = 'test_surface.png'
p.save(os.path.join(tmpdir, filename))
p._backend.close()
# Multiple 3D plots with same range.
p = plot3d(-x * y, x * y, (x, -5, 5))
filename = 'test_surface_multiple.png'
p.save(os.path.join(tmpdir, filename))
p._backend.close()
# Multiple 3D plots with different ranges.
p = plot3d(
(x * y, (x, -3, 3), (y, -3, 3)), (-x * y, (x, -3, 3), (y, -3, 3)))
filename = 'test_surface_multiple_ranges.png'
p.save(os.path.join(tmpdir, filename))
p._backend.close()
# Single Parametric 3D plot
p = plot3d_parametric_surface(sin(x + y), cos(x - y), x - y)
filename = 'test_parametric_surface.png'
p.save(os.path.join(tmpdir, filename))
p._backend.close()
# Multiple Parametric 3D plots.
p = plot3d_parametric_surface(
(x*sin(z), x*cos(z), z, (x, -5, 5), (z, -5, 5)),
(sin(x + y), cos(x - y), x - y, (x, -5, 5), (y, -5, 5)))
filename = 'test_parametric_surface.png'
p.save(os.path.join(tmpdir, filename))
p._backend.close()
# Single Contour plot.
p = plot_contour(sin(x)*sin(y), (x, -5, 5), (y, -5, 5))
filename = 'test_contour_plot.png'
p.save(os.path.join(tmpdir, filename))
p._backend.close()
# Multiple Contour plots with same range.
p = plot_contour(x**2 + y**2, x**3 + y**3, (x, -5, 5), (y, -5, 5))
filename = 'test_contour_plot.png'
p.save(os.path.join(tmpdir, filename))
p._backend.close()
# Multiple Contour plots with different range.
p = plot_contour(
(x**2 + y**2, (x, -5, 5), (y, -5, 5)),
(x**3 + y**3, (x, -3, 3), (y, -3, 3)))
filename = 'test_contour_plot.png'
p.save(os.path.join(tmpdir, filename))
p._backend.close()
